During the last decade, fractional differential equations(FDEs) [1]}, [2]}, [3]} appeared as rich and beautiful field of research due to their applications to the physical and life sciences.The theoretical development of FDEs in the classical Riemann-Liouville's or Caputo sense have been excellently given in [1]}, [2]}, [3]}, [7]}, [8]}, [9]}. For important and interesting works on existence, uniqueness, data dependence and heterogeneous qualitative properties of solution of classical FDEs, we propose the work of Lakshmikantham et al.[9]}, [11]}, [12]}, Gejji et al.[13]}, [14]}, Kai et al.[15]}, Trujillo et al.[16]}, Benchora et al.[17]}, and the references cited therein. Other interesting works on these aspect can be found in [17]}, [19]}, [20]}, [21]}, [22]}, [23]}, [24]}, [25]}, [26]}, [27]}, [28]}, [29]}, [30]}, [31]}.
